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10155623120 = 2451925932
BaseRepresentation
bin10010111010101001…
…01000001011010000
3222012202121002220122
421131110220023100
5131244314414440
64355422125412
7506444241446
oct113524501320
928182532818
1010155623120
114341647a65
121b75120868
13c5b007966
146c4ab2b96
153e689d7b5
hex25d5282d0

10155623120 has 90 divisors (see below), whose sum is σ = 24962052438. Its totient is φ = 3841956864.

The previous prime is 10155623119. The next prime is 10155623131. The reversal of 10155623120 is 2132655101.

It can be written as a sum of positive squares in 3 ways, for example, as 1824314944 + 8331308176 = 42712^2 + 91276^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10155623120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17125544 + ... + 17126136.

Almost surely, 210155623120 is an apocalyptic number.

10155623120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10155623120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481026219).

10155623120 is an abundant number, since it is smaller than the sum of its proper divisors (14806429318).

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

10155623120 is an frugal number, since it uses more digits than its factorization.

10155623120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 10155623120 in words is "ten billion, one hundred fifty-five million, six hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 361 380 593 722 760 1186 1444 1520 1805 2372 2888 2965 3610 4744 5776 5930 7220 9488 11267 11860 14440 22534 23720 28880 45068 47440 56335 90136 112670 180272 214073 225340 351649 428146 450680 703298 856292 901360 1070365 1406596 1712584 1758245 2140730 2813192 3425168 3516490 4281460 5626384 6681331 7032980 8562920 13362662 14065960 17125840 26725324 28131920 33406655 53450648 66813310 106901296 126945289 133626620 253890578 267253240 507781156 534506480 634726445 1015562312 1269452890 2031124624 2538905780 5077811560 10155623120