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103897148496 = 243113173263421
BaseRepresentation
bin110000011000011000…
…0001010110001010000
3100221011202210222221220
41200300300022301100
53200240132222441
6115421340245040
710335445122321
oct1406060126120
9327152728856
10103897148496
1140076260489
1218176b40780
139a4a02c77b
145058880448
152a81445466
hex1830c0ac50

103897148496 has 160 divisors (see below), whose sum is σ = 274026246912. Its totient is φ = 33916968960.

The previous prime is 103897148483. The next prime is 103897148519. The reversal of 103897148496 is 694841798301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246786366 + ... + 246786786.

Almost surely, 2103897148496 is an apocalyptic number.

103897148496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103897148496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137013123456).

103897148496 is an abundant number, since it is smaller than the sum of its proper divisors (170129098416).

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

103897148496 is a wasteful number, since it uses less digits than its factorization.

103897148496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 103897148496 in words is "one hundred three billion, eight hundred ninety-seven million, one hundred forty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 173 226 263 339 346 421 452 519 526 678 692 789 842 904 1038 1052 1263 1356 1384 1578 1684 1808 2076 2104 2526 2712 2768 3156 3368 4152 4208 5052 5424 6312 6736 8304 10104 12624 19549 20208 29719 39098 45499 47573 58647 59438 72833 78196 89157 90998 95146 110723 117294 118876 136497 142719 145666 156392 178314 181996 190292 218499 221446 234588 237752 272994 285438 291332 312784 332169 356628 363992 380584 436998 442892 469176 475504 545988 570876 582664 664338 713256 727984 761168 873996 885784 938352 1091976 1141752 1165328 1328676 1426512 1747992 1771568 2183952 2283504 2657352 3495984 5141387 5314704 8230129 10282774 12511699 15424161 16460258 19155079 20565548 24690387 25023398 30848322 32920516 37535097 38310158 41131096 49380774 50046796 57465237 61696644 65841032 75070194 76620316 82262192 98761548 100093592 114930474 123393288 131682064 150140388 153240632 197523096 200187184 229860948 246786576 300280776 306481264 395046192 459721896 600561552 919443792 2164523927 4329047854 6493571781 8658095708 12987143562 17316191416 25974287124 34632382832 51948574248 103897148496