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45632723450 = 252173710314087
BaseRepresentation
bin101010011111111011…
…000001100111111010
311100210020000112110112
4222133323001213322
51221423434122300
632544031344322
73203551515026
oct523773014772
9140706015415
1045632723450
1118397534596
128a163820a2
1343c3026512
1422cc6d3386
1512c1271e35
hexa9fec19fa

45632723450 has 96 divisors (see below), whose sum is σ = 93201249024. Its totient is φ = 16551613440.

The previous prime is 45632723387. The next prime is 45632723471. The reversal of 45632723450 is 5432723654.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 45632723398 and 45632723407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3232307 + ... + 3246393.

It is an arithmetic number, because the mean of its divisors is an integer number (970846344).

Almost surely, 245632723450 is an apocalyptic number.

45632723450 is an abundant number, since it is smaller than the sum of its proper divisors (47568525574).

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

45632723450 is a wasteful number, since it uses less digits than its factorization.

45632723450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14256 (or 14251 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 41.

The spelling of 45632723450 in words is "forty-five billion, six hundred thirty-two million, seven hundred twenty-three thousand, four hundred fifty".

Divisors: 1 2 5 10 17 25 34 37 50 74 85 103 170 185 206 370 425 515 629 850 925 1030 1258 1751 1850 2575 3145 3502 3811 5150 6290 7622 8755 14087 15725 17510 19055 28174 31450 38110 43775 64787 70435 87550 95275 129574 140870 190550 239479 323935 352175 478958 521219 647870 704350 1042438 1197395 1450961 1619675 2394790 2606095 2901922 3239350 5212190 5986975 7254805 8860723 11973950 13030475 14509610 17721446 24666337 26060950 36274025 44303615 49332674 53685557 72548050 88607230 107371114 123331685 221518075 246663370 268427785 443036150 536855570 616658425 912654469 1233316850 1342138925 1825308938 2684277850 4563272345 9126544690 22816361725 45632723450