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145196598208 = 2637731376131
BaseRepresentation
bin1000011100111001100…
…1000100001111000000
3111212210000000102100111
42013032121010033000
54334330312120313
6150411415001104
713330051502254
oct2071631041700
9455700012314
10145196598208
1156639770302
1224182069194
13108cc38668c
147055868264
153b9c05e43d
hex21ce6443c0

145196598208 has 112 divisors (see below), whose sum is σ = 302204042784. Its totient is φ = 69148753920.

The previous prime is 145196598149. The next prime is 145196598241. The reversal of 145196598208 is 802895691541.

It is a super-2 number, since 2×1451965982082 (a number of 23 digits) contains 22 as substring.

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, 23679303 + ... + 23685433.

It is an arithmetic number, because the mean of its divisors is an integer number (2698250382).

Almost surely, 2145196598208 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 145196598208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151102021392).

145196598208 is an abundant number, since it is smaller than the sum of its proper divisors (157007444576).

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

145196598208 is a wasteful number, since it uses less digits than its factorization.

145196598208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 58.

The spelling of 145196598208 in words is "one hundred forty-five billion, one hundred ninety-six million, five hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 37 64 73 74 137 146 148 274 292 296 548 584 592 1096 1168 1184 2192 2336 2368 2701 4384 4672 5069 5402 6131 8768 10001 10138 10804 12262 20002 20276 21608 24524 40004 40552 43216 49048 80008 81104 86432 98096 160016 162208 172864 196192 226847 320032 324416 370037 392384 447563 453694 640064 740074 839947 895126 907388 1480148 1679894 1790252 1814776 2960296 3359788 3580504 3629552 5920592 6719576 7161008 7259104 11841184 13439152 14322016 14518208 16559831 23682368 26878304 28644032 31078039 33119662 53756608 61316131 62156078 66239324 122632262 124312156 132478648 245264524 248624312 264957296 490529048 497248624 529914592 981058096 994497248 1059829184 1962116192 1988994496 2268696847 3924232384 4537393694 9074787388 18149574776 36299149552 72598299104 145196598208