Search a number
-
+
157107061520154 = 233371847302314083
BaseRepresentation
bin100011101110001101010110…
…100101111111011100011010
3202121021021210020120111122000
4203232031112211333130122
5131043020230222121104
61314045553201341430
745043416305006454
oct4356152645773432
9677237706514560
10157107061520154
1146071804501279
1215754499037876
136988194969a65
142ab20454852d4
151326aadc85639
hex8ee35697f71a

157107061520154 has 128 divisors (see below), whose sum is σ = 358900954030080. Its totient is φ = 50905593191232.

The previous prime is 157107061520131. The next prime is 157107061520197. The reversal of 157107061520154 is 451025160701751.

157107061520154 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 0 + 7 + 0 + 615 + 20 + 1 + 5 + 4 = 666.

157107061520154 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11155787997 + ... + 11155802079.

It is an arithmetic number, because the mean of its divisors is an integer number (2803913703360).

Almost surely, 2157107061520154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157107061520154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179450477015040).

157107061520154 is an abundant number, since it is smaller than the sum of its proper divisors (201793892509926).

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

157107061520154 is a wasteful number, since it uses less digits than its factorization.

157107061520154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19001 (or 18995 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 157107061520154 in words is "one hundred fifty-seven trillion, one hundred seven billion, sixty-one million, five hundred twenty thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1847 1998 3023 3694 5541 6046 9069 11082 14083 16623 18138 27207 28166 33246 42249 49869 54414 68339 81621 84498 99738 111851 126747 136678 163242 205017 223702 253494 335553 380241 410034 521071 615051 671106 760482 1006659 1042142 1230102 1563213 1845153 2013318 3019977 3126426 3690306 4689639 5583481 6039954 9379278 11166962 14068917 16750443 26011301 28137834 33500886 42572909 50251329 52022602 78033903 85145818 100502658 127718727 150753987 156067806 206588797 234101709 255437454 301507974 383156181 413177594 468203418 619766391 702305127 766312362 962418137 1149468543 1239532782 1404610254 1575197633 1859299173 1924836274 2298937086 2887254411 3150395266 3718598346 4725592899 5577897519 5774508822 8661763233 9451185798 11155795038 14176778697 17323526466 25985289699 28353557394 42530336091 51970579398 78632162923 85060672182 157264325846 235896488769 471792977538 707689466307 1415378932614 2123068398921 2909390028151 4246136797842 5818780056302 8728170084453 17456340168906 26184510253359 52369020506718 78553530760077 157107061520154