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55435026948 = 223741107150431
BaseRepresentation
bin110011101000001011…
…110110001000000100
312022002100210010222020
4303220023312020010
51402012331330243
641244433003140
74001505645240
oct635013661004
9168070703866
1055435026948
112156769a264
12a8b10b34b0
1352c5a84cc2
14297c4b3420
151696acd283
hexce82f6204

55435026948 has 96 divisors (see below), whose sum is σ = 152848539648. Its totient is φ = 15307756800.

The previous prime is 55435026947. The next prime is 55435027007. The reversal of 55435026948 is 84962053455.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 55435026948.

It is not an unprimeable number, because it can be changed into a prime (55435026947) 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, 293293 + ... + 443723.

It is an arithmetic number, because the mean of its divisors is an integer number (1592172288).

Almost surely, 255435026948 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 55435026948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76424269824).

55435026948 is an abundant number, since it is smaller than the sum of its proper divisors (97413512700).

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

55435026948 is a wasteful number, since it uses less digits than its factorization.

55435026948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150593 (or 150591 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 55435026948 in words is "fifty-five billion, four hundred thirty-five million, twenty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 107 123 164 214 246 287 321 428 492 574 642 749 861 1148 1284 1498 1722 2247 2996 3444 4387 4494 8774 8988 13161 17548 26322 30709 52644 61418 92127 122836 150431 184254 300862 368508 451293 601724 902586 1053017 1805172 2106034 3159051 4212068 6167671 6318102 12335342 12636204 16096117 18503013 24670684 32192234 37006026 43173697 48288351 64384468 74012052 86347394 96576702 112672819 129521091 172694788 193153404 225345638 259042182 338018457 450691276 518084364 659940797 676036914 1319881594 1352073828 1979822391 2639763188 3959644782 4619585579 7919289564 9239171158 13858756737 18478342316 27717513474 55435026948