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100385914748 = 22710167752433
BaseRepresentation
bin101110101111101110…
…1110111111101111100
3100121010001210211202112
41131133131313331330
53121042243232443
6114041110313152
710152441124250
oct1353735677574
9317101724675
10100385914748
1139634260609
12175570587b8
13960a75bb72
144c043da260
152928069b18
hex175f777f7c

100385914748 has 48 divisors (see below), whose sum is σ = 203063039424. Its totient is φ = 42532838400.

The previous prime is 100385914721. The next prime is 100385914757. The reversal of 100385914748 is 847419583001.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100385914696 and 100385914705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888340 + ... + 1940772.

It is an arithmetic number, because the mean of its divisors is an integer number (4230479988).

Almost surely, 2100385914748 is an apocalyptic number.

It is an amenable number.

100385914748 is an abundant number, since it is smaller than the sum of its proper divisors (102677124676).

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

100385914748 is a wasteful number, since it uses less digits than its factorization.

100385914748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53222 (or 53220 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 100385914748 in words is "one hundred billion, three hundred eighty-five million, nine hundred fourteen thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 14 28 101 202 404 677 707 1354 1414 2708 2828 4739 9478 18956 52433 68377 104866 136754 209732 273508 367031 478639 734062 957278 1468124 1914556 5295733 10591466 21182932 35497141 37070131 70994282 74140262 141988564 148280524 248479987 496959974 993919948 3585211241 7170422482 14340844964 25096478687 50192957374 100385914748