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155730190160 = 24571227269449
BaseRepresentation
bin1001000100001000111…
…1100001111101010000
3112212222002211100000202
42101002033201331100
510022413412041120
6155312542234332
714152065530006
oct2210217417520
9485862740022
10155730190160
11600546a58a6
12262218859a8
13118ba78ab1c
147774808a76
1540b6bbd875
hex24423e1f50

155730190160 has 160 divisors (see below), whose sum is σ = 370985184000. Its totient is φ = 60781199360.

The previous prime is 155730190129. The next prime is 155730190163. The reversal of 155730190160 is 61091037551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155730190163) 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, 346837616 + ... + 346838064.

It is an arithmetic number, because the mean of its divisors is an integer number (2318657400).

Almost surely, 2155730190160 is an apocalyptic number.

155730190160 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 155730190160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185492592000).

155730190160 is an abundant number, since it is smaller than the sum of its proper divisors (215254993840).

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

155730190160 is a wasteful number, since it uses less digits than its factorization.

155730190160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 38.

It can be divided in two parts, 1557301 and 90160, that added together give a palindrome (1647461).

The spelling of 155730190160 in words is "one hundred fifty-five billion, seven hundred thirty million, one hundred ninety thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 227 269 284 355 449 454 538 568 710 898 908 1076 1135 1136 1345 1420 1796 1816 2152 2245 2270 2690 2840 3592 3632 4304 4490 4540 5380 5680 7184 8980 9080 10760 16117 17960 18160 19099 21520 31879 32234 35920 38198 61063 63758 64468 76396 80585 95495 101923 120781 122126 127516 128936 152792 159395 161170 190990 203846 241562 244252 255032 257872 305315 305584 318790 322340 381980 407692 483124 488504 509615 510064 603905 610630 637580 644680 763960 815384 966248 977008 1019230 1207810 1221260 1275160 1289360 1527920 1630768 1932496 2038460 2415620 2442520 2550320 4076920 4335473 4831240 4885040 7236533 8153840 8575451 8670946 9662480 14473066 17150902 17341892 21677365 27417287 28946132 34301804 34683784 36182665 42877255 43354730 54834574 57892264 68603608 69367568 72365330 85754510 86709460 109669148 115784528 137086435 137207216 144730660 171509020 173418920 219338296 274172870 289461320 343018040 346837840 438676592 548345740 578922640 686036080 1096691480 1946627377 2193382960 3893254754 7786509508 9733136885 15573019016 19466273770 31146038032 38932547540 77865095080 155730190160