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51076977504 = 2537231734253
BaseRepresentation
bin101111100100011011…
…001101001101100000
311212211122100022000120
4233210123031031200
51314101201240004
635244152520240
73455510100600
oct574433151540
9155748308016
1051076977504
111a730693203
129a956b0080
134a7cc1c617
142687798c00
1514de1ce3d9
hexbe46cd360

51076977504 has 144 divisors (see below), whose sum is σ = 156463777008. Its totient is φ = 14546961408.

The previous prime is 51076977503. The next prime is 51076977529. The reversal of 51076977504 is 40577967015.

It is a happy number.

51076977504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51076977503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1474042 + ... + 1508294.

It is an arithmetic number, because the mean of its divisors is an integer number (1086554007).

Almost surely, 251076977504 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 51076977504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78231888504).

51076977504 is an abundant number, since it is smaller than the sum of its proper divisors (105386799504).

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

51076977504 is a wasteful number, since it uses less digits than its factorization.

51076977504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34597 (or 34582 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 51.

It can be divided in two parts, 5107697 and 7504, that added together give a triangular number (5115201 = T3198).

The spelling of 51076977504 in words is "fifty-one billion, seventy-six million, nine hundred seventy-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 317 336 392 588 634 672 784 951 1176 1268 1568 1902 2219 2352 2536 3804 4438 4704 5072 6657 7608 8876 10144 13314 15216 15533 17752 26628 30432 31066 34253 35504 46599 53256 62132 68506 71008 93198 102759 106512 124264 137012 186396 205518 213024 239771 248528 274024 372792 411036 479542 497056 548048 719313 745584 822072 959084 1096096 1438626 1491168 1644144 1678397 1918168 2877252 3288288 3356794 3836336 5035191 5754504 6713588 7672672 10070382 10858201 11509008 13427176 20140764 21716402 23018016 26854352 32574603 40281528 43432804 53708704 65149206 76007407 80563056 86865608 130298412 152014814 161126112 173731216 228022221 260596824 304029628 347462432 456044442 521193648 532051849 608059256 912088884 1042387296 1064103698 1216118512 1596155547 1824177768 2128207396 2432237024 3192311094 3648355536 4256414792 6384622188 7296711072 8512829584 12769244376 17025659168 25538488752 51076977504