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57233320641972 = 2232171940011230199
BaseRepresentation
bin11010000001101101010111…
…01111110000010110110100
321111122110012112001220211100
431000312223233300112310
530000202320041020342
6321420342522010100
715024654016421166
oct1500665357602664
9244573175056740
1057233320641972
1117266573484072
12650424b346930
1325c2104691567
14101c170d9a936
15693b83bdae4c
hex340dabbf05b4

57233320641972 has 144 divisors (see below), whose sum is σ = 161286010704000. Its totient is φ = 17006257152000.

The previous prime is 57233320641949. The next prime is 57233320641979. The reversal of 57233320641972 is 27914602333275.

57233320641972 is a `hidden beast` number, since 5 + 7 + 233 + 320 + 6 + 4 + 19 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57233320641979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45908529 + ... + 47138727.

It is an arithmetic number, because the mean of its divisors is an integer number (1120041741000).

Almost surely, 257233320641972 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 57233320641972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80643005352000).

57233320641972 is an abundant number, since it is smaller than the sum of its proper divisors (104052690062028).

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

57233320641972 is a wasteful number, since it uses less digits than its factorization.

57233320641972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234246 (or 1234241 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 57233320641972 in words is "fifty-seven trillion, two hundred thirty-three billion, three hundred twenty million, six hundred forty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1938 2907 3876 4001 5814 8002 11628 12003 16004 24006 36009 48012 68017 72018 76019 136034 144036 152038 204051 228057 272068 304076 408102 456114 612153 684171 816204 912228 1224306 1230199 1292323 1368342 2448612 2460398 2584646 2736684 3690597 3876969 4920796 5169292 7381194 7753938 11071791 11630907 14762388 15507876 20913383 22143582 23261814 23373781 41826766 44287164 46523628 46747562 62740149 70121343 83653532 93495124 125480298 140242686 188220447 210364029 250960596 280485372 376440894 397354277 420728058 752881788 794708554 841456116 1192062831 1589417108 2384125662 3576188493 4768251324 4922026199 7152376986 9844052398 14304753972 14766078597 19688104796 29532157194 44298235791 59064314388 83674445383 88596471582 93518497781 167348890766 177192943164 187036995562 251023336149 280555493343 334697781532 374073991124 502046672298 561110986686 753070008447 841666480029 1004093344596 1122221973372 1506140016894 1589814462277 1683332960058 3012280033788 3179628924554 3366665920116 4769443386831 6359257849108 9538886773662 14308330160493 19077773547324 28616660320986 57233320641972