Search a number
-
+
60156381460 = 22571973309797
BaseRepresentation
bin111000000001100110…
…011000100100010100
312202021101211210210011
4320001212120210110
51441200013201320
643345132010004
74226505543220
oct700146304424
9182241753704
1060156381460
112356a78883a
12b7aa300904
135898c818b6
142ca955d780
15187134305a
hexe01998914

60156381460 has 96 divisors (see below), whose sum is σ = 154056349440. Its totient is φ = 19271789568.

The previous prime is 60156381433. The next prime is 60156381503. The reversal of 60156381460 is 6418365106.

It is a super-2 number, since 2×601563814602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39282 + ... + 349078.

It is an arithmetic number, because the mean of its divisors is an integer number (1604753640).

Almost surely, 260156381460 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 60156381460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77028174720).

60156381460 is an abundant number, since it is smaller than the sum of its proper divisors (93899967980).

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

60156381460 is a wasteful number, since it uses less digits than its factorization.

60156381460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309905 (or 309903 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 60156381460 in words is "sixty billion, one hundred fifty-six million, three hundred eighty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 73 76 95 133 140 146 190 266 292 365 380 511 532 665 730 1022 1330 1387 1460 2044 2555 2660 2774 5110 5548 6935 9709 10220 13870 19418 27740 38836 48545 97090 194180 309797 619594 1239188 1548985 2168579 3097970 4337158 5886143 6195940 8674316 10842895 11772286 21685790 22615181 23544572 29430715 41203001 43371580 45230362 58861430 82406002 90460724 113075905 117722860 158306267 164812004 206015005 226151810 316612534 412030010 429688439 452303620 633225068 791531335 824060020 859376878 1583062670 1718753756 2148442195 3007819073 3166125340 4296884390 6015638146 8593768780 12031276292 15039095365 30078190730 60156381460