Search a number
-
+
57350379000 = 23353191006147
BaseRepresentation
bin110101011010010110…
…010101010111111000
312111000211212010001010
4311122112111113320
51414423144112000
642202453353520
74100124115065
oct653226252770
9174024763033
1057350379000
112235a880642
12b1466388a0
13553c832505
142ac0a15c6c
151759d1ed50
hexd5a5955f8

57350379000 has 128 divisors (see below), whose sum is σ = 188350905600. Its totient is φ = 14488502400.

The previous prime is 57350378999. The next prime is 57350379001. The reversal of 57350379000 is 97305375.

It is an interprime number because it is at equal distance from previous prime (57350378999) and next prime (57350379001).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57350379000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57350379001) 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, 446074 + ... + 560073.

It is an arithmetic number, because the mean of its divisors is an integer number (1471491450).

Almost surely, 257350379000 is an apocalyptic number.

57350379000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57350379000 is an abundant number, since it is smaller than the sum of its proper divisors (131000526600).

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

57350379000 is a wasteful number, since it uses less digits than its factorization.

57350379000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006190 (or 1006176 counting only the distinct ones).

The product of its (nonzero) digits is 99225, while the sum is 39.

The spelling of 57350379000 in words is "fifty-seven billion, three hundred fifty million, three hundred seventy-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 57000 1006147 2012294 3018441 4024588 5030735 6036882 8049176 10061470 12073764 15092205 19116793 20122940 24147528 25153675 30184410 38233586 40245880 50307350 57350379 60368820 75461025 76467172 95583965 100614700 114700758 120737640 125768375 150922050 152934344 191167930 201229400 229401516 251536750 286751895 301844100 377305125 382335860 458803032 477919825 503073500 573503790 603688200 754610250 764671720 955839650 1006147000 1147007580 1433759475 1509220500 1911679300 2294015160 2389599125 2867518950 3018441000 3823358600 4779198250 5735037900 7168797375 9558396500 11470075800 14337594750 19116793000 28675189500 57350379000