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38320465488 = 2433143761787
BaseRepresentation
bin100011101100000100…
…111110011001010000
310122220121201100021120
4203230010332121100
51111440014343423
625334300322240
72524421403504
oct435404763120
9118817640246
1038320465488
11152849a3998
127515543380
1337c9120266
141bd74d2304
15ee4326ee3
hex8ec13e650

38320465488 has 160 divisors (see below), whose sum is σ = 104834813952. Its totient is φ = 12042777600.

The previous prime is 38320465487. The next prime is 38320465501. The reversal of 38320465488 is 88456402383.

It is a self number, because there is not a number n which added to its sum of digits gives 38320465488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38320465481) 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, 48691431 + ... + 48692217.

Almost surely, 238320465488 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 38320465488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52417406976).

38320465488 is an abundant number, since it is smaller than the sum of its proper divisors (66514348464).

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

38320465488 is a wasteful number, since it uses less digits than its factorization.

38320465488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 38320465488 in words is "thirty-eight billion, three hundred twenty million, four hundred sixty-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 43 48 62 86 93 124 129 172 186 248 258 344 372 496 516 688 744 761 787 1032 1333 1488 1522 1574 2064 2283 2361 2666 3044 3148 3999 4566 4722 5332 6088 6296 7998 9132 9444 10664 12176 12592 15996 18264 18888 21328 23591 24397 31992 32723 33841 36528 37776 47182 48794 63984 65446 67682 70773 73191 94364 97588 98169 101523 130892 135364 141546 146382 188728 195176 196338 203046 261784 270728 283092 292764 377456 390352 392676 406092 523568 541456 566184 585528 598907 785352 812184 1014413 1049071 1132368 1171056 1197814 1570704 1624368 1796721 2028826 2098142 2395628 3043239 3147213 3593442 4057652 4196284 4791256 6086478 6294426 7186884 8115304 8392568 9582512 12172956 12588852 14373768 16230608 16785136 18566117 24345912 25177704 25753001 28747536 37132234 48691824 50355408 51506002 55698351 74264468 77259003 103012004 111396702 148528936 154518006 206024008 222793404 297057872 309036012 412048016 445586808 618072024 798343031 891173616 1236144048 1596686062 2395029093 3193372124 4790058186 6386744248 9580116372 12773488496 19160232744 38320465488