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55907668419948 = 22331737222243097
BaseRepresentation
bin11001011011001000001001…
…01101110110010101101100
321022221201110112112120101000
430231210010231312111230
524311442401103414243
6314523343414120300
714530124066435262
oct1455440455662554
9238851415476330
1055907668419948
11168a5344349894
12632b345050090
1325270bbbac427
14db3d349aa432
1566e447c0c5d3
hex32d904b7656c

55907668419948 has 144 divisors (see below), whose sum is σ = 157732035985440. Its totient is φ = 17065615030272.

The previous prime is 55907668419907. The next prime is 55907668419961. The reversal of 55907668419948 is 84991486670955.

55907668419948 is a `hidden beast` number, since 5 + 5 + 90 + 76 + 6 + 8 + 419 + 9 + 48 = 666.

55907668419948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8608065 + ... + 13635032.

It is an arithmetic number, because the mean of its divisors is an integer number (1095361361010).

Almost surely, 255907668419948 is an apocalyptic number.

It is an amenable number.

55907668419948 is an abundant number, since it is smaller than the sum of its proper divisors (101824367565492).

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

55907668419948 is a wasteful number, since it uses less digits than its factorization.

55907668419948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22243201 (or 22243156 counting only the distinct ones).

The product of its (nonzero) digits is 4702924800, while the sum is 81.

The spelling of 55907668419948 in words is "fifty-five trillion, nine hundred seven billion, six hundred sixty-eight million, four hundred nineteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 51 54 68 74 102 108 111 148 153 204 222 306 333 444 459 612 629 666 918 999 1258 1332 1369 1836 1887 1998 2516 2738 3774 3996 4107 5476 5661 7548 8214 11322 12321 16428 16983 22644 23273 24642 33966 36963 46546 49284 67932 69819 73926 93092 139638 147852 209457 279276 418914 628371 837828 1256742 2513484 22243097 44486194 66729291 88972388 133458582 200187873 266917164 378132649 400375746 600563619 756265298 800751492 822994589 1134397947 1201127238 1512530596 1645989178 2268795894 2402254476 2468983767 3291978356 3403193841 4537591788 4937967534 6806387682 7406951301 9875935068 10209581523 13612775364 13990908013 14813902602 20419163046 22220853903 27981816026 29627805204 30450799793 40838326092 41972724039 44441707806 55963632052 60901599586 83945448078 88883415612 91352399379 121803199172 125918172117 167890896156 182704798758 251836344234 274057198137 365409597516 377754516351 503672688468 517663596481 548114396274 755509032702 822171594411 1035327192962 1096228792548 1511018065404 1552990789443 1644343188822 2070654385924 3105981578886 3288686377644 4658972368329 6211963157772 9317944736658 13976917104987 18635889473316 27953834209974 55907668419948