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152640235431632 = 241383643129110651
BaseRepresentation
bin100010101101001101010011…
…000000101110011011010000
3202000110021010110020101212102
4202231031103000232123100
5130001324200232303012
61300345542304215532
744102615220505034
oct4255152300563320
9660407113211772
10152640235431632
11446aa3a663a983
121515284a00a5a8
136722bb28216a0
142999b80ac41c4
15129a7c97692c2
hex8ad35302e6d0

152640235431632 has 160 divisors (see below), whose sum is σ = 323108627390976. Its totient is φ = 69431961024000.

The previous prime is 152640235431631. The next prime is 152640235431637. The reversal of 152640235431632 is 236134532046251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152640235431631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14331065507 + ... + 14331076157.

Almost surely, 2152640235431632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152640235431632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161554313695488).

152640235431632 is an abundant number, since it is smaller than the sum of its proper divisors (170468391959344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152640235431632 is a wasteful number, since it uses less digits than its factorization.

152640235431632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12689 (or 12683 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 47.

Adding to 152640235431632 its reverse (236134532046251), we get a palindrome (388774767477883).

The spelling of 152640235431632 in words is "one hundred fifty-two trillion, six hundred forty billion, two hundred thirty-five million, four hundred thirty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 83 104 166 208 332 643 664 1079 1286 1291 1328 2158 2572 2582 4316 5144 5164 8359 8632 10288 10328 10651 16718 16783 17264 20656 21302 33436 33566 42604 53369 66872 67132 85208 106738 107153 133744 134264 138463 170416 213476 214306 268528 276926 426952 428612 553852 693797 830113 853904 857224 884033 1107704 1387594 1392989 1660226 1714448 1768066 2215408 2775188 2785978 3320452 3536132 5550376 5571956 6640904 6848593 7072264 10791469 11100752 11143912 11492429 13281808 13697186 13750441 14144528 21582938 22287824 22984858 27394372 27500882 43165876 45969716 54788744 55001764 68899379 86331752 89031709 91939432 109577488 110003528 137798758 172663504 178063418 178755733 183878864 220007056 275597516 356126836 357511466 551195032 568433219 712253672 715022932 895691927 1102390064 1136866438 1141286603 1424507344 1430045864 1791383854 2273732876 2282573206 2860091728 3582767708 4547465752 4565146412 7165535416 7389631847 8841533563 9094931504 9130292824 14331070832 14779263694 14836725839 17683067126 18260585648 29558527388 29673451678 35366134252 59117054776 59346903356 70732268504 114939936319 118234109552 118693806712 141464537008 229879872638 237387613424 459759745276 733847285729 919519490552 1467694571458 1839038981104 2935389142916 5870778285832 9540014714477 11741556571664 19080029428954 38160058857908 76320117715816 152640235431632